On the Mean‐Field Limit of Consensus‐Based Methods
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Consensus‐based optimization (CBO) employs a swarm of particles evolving as a system of stochastic differential equations (SDEs). Recently, it has been adapted to yield a derivative free sampling method referred to as consensus‐based sampling (CBS). In this paper, we investigate the “mean‐field limit” of a class of consensus methods, including
Marvin Koß, Simon Weissmann, Jakob Zech
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Lyapunov Type Inequality for an Anti-Periodic Conformable Boundary Value Problem [PDF]
, 2021 Jagan Mohan Jonnalagadda +2 more
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From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama +2 more
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Neural Network to Solve Concave Games
International Journal of Computer Games Technology, 2014 The issue on neural network method to solve concave games is concerned. Combined with variational inequality, Ky Fan inequality, and projection equation, concave games are transformed into a neural network model.
Zixin Liu, Nengfa Wang
doaj +1 more source
Estimation of Solutions of Differential Systems with Delayed Argument of Neutral Type [PDF]
, 2012 Tato disertační práce pojednává o řešení diferenciálních rovnic a systémů diferenciálních rovnic. Hlavní pozornost je věnována asymptotickým vlastnostem rovnic se zpožděním a systémů rovnic se zpožděním.
Baštincová, Alena
core
Predefined‐Time Dynamic Surface Control of Tank Horizontal Stabilization System With Disturbance
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT Modern new tanks are difficult to achieve high precision control of the horizontal stabilization system due to electromechanical coupling and road surface disturbance during high‐speed combat. A predefined‐time dynamic surface controller (DSCPT) is proposed for the fast stabilization and strong disturbance problems of the tank horizontal ...
Zhicheng Fan +5 more
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Optimal Sliding Mode Control for Tracking Trajectory Problem of Triple Pendubot [PDF]
Robotica & Management, 2018 Triple pendubot – which is advanced model of classical pendubot, is constructed by single input that applied to first link and three link continuous connected. This is a typical nonlinear, unstable and fast-reacting system.
Xuan Dung Huynh +4 more
doaj
Dynamics Analysis of a Stochastic Delay Gilpin-Ayala Model with Markovian Switching
Discrete Dynamics in Nature and Society, 2019 This paper considers a stochastic delay Gilpin-Ayala model with Markovian switching. Using Lyapunov method, we show existence and uniqueness of global positive solution.
Qiaoqin Gao, Zhijiang Luo, Guirong Liu
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Exponential stability of c0-semigroup via Lyapunov inequality in Banach space [PDF]
, 2021 Belabbas Madani, Zohra Bendaoud
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ON FINITE DIFFERENCE INEQUALITY OF LYAPUNOV TYPE
Tamkang Journal of Mathematics, 1992 ON FINITE DIFFERENCE INEQUALITY OF LYAPUNOV TYPE
Yang, Gou-Sheng, Huang, Shiow-Fu
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